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Simplifying 7 = -1(5 + -1m) + 4(6 + -1m) 7 = (5 * -1 + -1m * -1) + 4(6 + -1m) 7 = (-5 + 1m) + 4(6 + -1m) 7 = -5 + 1m + (6 * 4 + -1m * 4) 7 = -5 + 1m + (24 + -4m) Reorder the terms: 7 = -5 + 24 + 1m + -4m Combine like terms: -5 + 24 = 19 7 = 19 + 1m + -4m Combine like terms: 1m + -4m = -3m 7 = 19 + -3m Solving 7 = 19 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 7 + 3m = 19 + -3m + 3m Combine like terms: -3m + 3m = 0 7 + 3m = 19 + 0 7 + 3m = 19 Add '-7' to each side of the equation. 7 + -7 + 3m = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 19 + -7 3m = 19 + -7 Combine like terms: 19 + -7 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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